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Finding the Fourth Proportional to 3,593.79, 5,383.47 and 1,643.31

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Solution

The fourth proportional to 3,593.79, 5,383.47 and 1,643.31 is: 2,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.79 : 5,383.47 = 1,643.31 : x
  2. Step 2: Convert to fraction form
    3,593.79/5,383.47 = 1,643.31/x
  3. Step 3: Cross multiply
    3,593.79x = 5,383.47 × 1,643.31
  4. Step 4: Simplify right side
    3,593.79x = 8,846,710.09
  5. Step 5: Solve for x
    x = 8,846,710.09/3,593.79
  6. Step 6: Final answer
    x = 2,461.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.